The main objective of this course is to introduce students of physics to the 'modern' formalism of classical (or Newtonian) mechanics, especially Lagrangian and Hamiltonian mechanics. An important part of the course will focus on introducing the variational methods and principles in mechanics, or ...
Def A linearmotion is a motion with onedegree of Audio 1
freedom
Motion
along
In case of a system having onedegree of GC 9
freedom evolving in a conservative
field with
potential
V91
We have only I Gncoordinate
As
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Specialcase
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CartesianCoordinates x rectilinear motion
g
Motion
mid Ux along
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o
L
mi day O
f
mis du
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mix du
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at
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milk E Ux i
f2ExD
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take t
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Motion is possible
only
when E USO
, Audio4 5
Motion occurs the
in region
where Utx LE
Example Assumethat ULI is givenby
thefollowing curve
U
I I TH E est
A B C D f
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classically
these
areforbidden regions
IF motion ispossiple in Regions I I 4 HI
The points ABC D and F are solution to the equation VIX E
In region II
the domain of motion is unlimited
and the particle can travel infinity away Audio 6
, Two bodies problem
Audio't
considerthe sun Earth
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as isolated
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S Morag
Consider an isolated
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